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Finding the Fourth Proportional to 20,259.56, 30,382.14 and 7,780.52

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Solution

The fourth proportional to 20,259.56, 30,382.14 and 7,780.52 is: 11,668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,259.56 : 30,382.14 = 7,780.52 : x
  2. Step 2: Convert to fraction form
    20,259.56/30,382.14 = 7,780.52/x
  3. Step 3: Cross multiply
    20,259.56x = 30,382.14 × 7,780.52
  4. Step 4: Simplify right side
    20,259.56x = 236,388,847.91
  5. Step 5: Solve for x
    x = 236,388,847.91/20,259.56
  6. Step 6: Final answer
    x = 11,668.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.